Question

#3 which expression is equivalent to (7xy + 8xz - 11yz) + (6xy - 12xz + 9yz) ?
a. 13xy + 4xz - 20yz
b. 13xy - 4xz - 2yz
c. 13xy + 4xz + 2yz
d. 13xy - 4xz + 20yz

Explanation:

Step1: Remove parentheses

$(7xy + 8xz - 11yz) + (6xy - 12xz + 9yz) = 7xy + 8xz - 11yz + 6xy - 12xz + 9yz$

Step2: Combine like terms for $xy$

$7xy + 6xy = 13xy$

Step3: Combine like terms for $xz$

$8xz - 12xz = -4xz$

Step4: Combine like terms for $yz$

$-11yz + 9yz = -2yz$

Step5: Combine all simplified terms

$13xy - 4xz - 2yz$

Answer:

b. $13xy - 4xz - 2yz$